Question

Claire is a designer. She needs to put some lights around a circular bandstand in a park. Claire has this scale diagram of the plan view of the bandstand. Circumtien permetr Claire knows that 9000m 45cm a set of lights is 4.75 m in length each set of lights costs £27.99 scale 1:200 Work out the total cost for the sets of lights Claire needs. (5) 4​

Answer 1

Based on the available information, the total cost for the sets of lights Claire needs is approximately £10,595.21.

To determine the total cost for the sets of lights Claire needs, follow these steps:

1. Find the actual circumference of the circular bandstand:

- The given circumference on the scale diagram is 9000m 45cm.

- Convert this to meters: 9000m + 45cm= 9000.45m

2. Use the scale to find the actual circumference of the bandstand:

- Since the scale is 1:200, multiply the given circumference on the scale by 200 to find the actual circumference.

- 9000.45m * 200 = 1,800,090m

3. Calculate the number of sets of lights needed:

- Divide the actual circumference by the length of each set of lights: 1,800,090m / 4.75m= 378,958.947

- Round up to the nearest whole number since you can't purchase a fraction of a set of lights. Therefore, Claire needs 379 sets of lights.

4. Calculate the total cost:

- Multiply the number of sets needed by the cost per set: 379sets * £27.99 per set = £10,595.21

Therefore, the total cost for the sets of lights Claire needs is approximately £10,595.21.